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Finding the Third Proportional to 64,985 and 98,186

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Solution

The third proportional to 64,985 and 98,186 is: 148,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,985 : 98,186 = 98,186 : x
  2. Step 2: Convert to fraction form
    64,985/98,186 = 98,186/x
  3. Step 3: Cross multiply
    64,985x = 98,186 × 98,186
  4. Step 4: Simplify right side
    64,985x = 9,640,490,596
  5. Step 5: Solve for x
    x = 9,640,490,596/64,985
  6. Step 6: Final answer
    x = 148,349.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.